RUME 26
2024
Omaha, Nebraska
Linear Algebra Students’ Reasoning With Compositions of Linear Transformations
Page: 1229
We report on preliminary findings from a study of the ways in which linear algebra students used function composition to describe the result of applying two linear transformations, defined using symbolic vector notation, to a graphical region. Our current results from even a small set of data suggest that the students engage in function composition in a variety of ways. These results suggest areas for future exploration regarding how students engage in these forms of composition with linear transformations, and how their conceptualizations of individual transformations inform their understandings of the composition.